What is the Least Common Multiple of 8874 and 8889?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 8874 and 8889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8874 and 8889, than apply into the LCM equation.

GCF(8874,8889) = 3
LCM(8874,8889) = ( 8874 × 8889) / 3
LCM(8874,8889) = 78880986 / 3
LCM(8874,8889) = 26293662

Least Common Multiple (LCM) of 8874 and 8889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8874 and 8889. First we will calculate the prime factors of 8874 and 8889.

Prime Factorization of 8874

Prime Factorization of 8889

Now multiplying the highest exponent prime factors to calculate the LCM of 8874 and 8889.

LCM(8874,8889) = 2¹ × 3² × 17¹ × 29¹ × 2963¹
LCM(8874,8889) = 26293662